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roseking
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openAI-math-dataset

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Chinese
Size:
100K<n<1M
Tags:
mathematics
mirror
lean
formal-proofs
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openAI-math-dataset
File size: 7,420 Bytes
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import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralAngularParameter
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralBoundaryNeighborhood
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralC1HarmonicMembership
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCanonicalParameterL2
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCanonicalParameterSmooth
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralChainCoreC1
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralChainCorePower
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralChainRobinC1
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralClassicalContinuousTest
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralClassicalObservationLine
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralClassicalSlopePairing
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralClosedDerivative
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCompactKernelLift
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCompactObservedChain
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCompactPencilDerivative
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCoreBoundaryLinear
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCoupledGreenFull
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralCrossFluxLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralDilationBoundaryEstimate
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralDilationDecomposition
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralDirichletGreenData
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralEventualSimple
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFixedGaugeAnalytic
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFluxChainGauge
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFluxRobinLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeBasisParameter
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeBoundaryMultiplicity
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeChainCore
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeCollarUniqueness
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeInterfaceRoot
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreePhysicalIdentification
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralFreeRadiusLog
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeClassicalSourceFlux
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeComponentEnergy
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeCoreLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeCrossBound
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeFirstBoundary
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralGaugeFirstMass
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralHolomorphicFixedLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralHolomorphicRobinLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralInwardDecay
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralJointNonzero
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralJointUniformLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralKernelCoefficientLine
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralLogGaugeCoefficients
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralLowerOrderConvergence
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMassConvergence
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchedBases
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchedCaseIIShell
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchedEscapeExclusion
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchedWeight
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchingAnalytic
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralMatchingGluing
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralODESmoothness
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralObservedSourceEquation
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPencilExclusion
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPencilFlux
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPencilFluxSystem
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPencilJointLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPencilRobin
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPhysicalGaugeTransfer
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPhysicalParameterBounds
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPhysicalSourceBoundary
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralPowerPressureAway
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralQuotientDecay
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialCoreWeak
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialGaugeEnergyUpper
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialPenalty
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialPoincare
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialRealGauge
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRadialRealSourceGauge
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRemoteScaleSymbols
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralRobinSourcePlane
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralScalarBoundaryNorm
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralScalarOutgoingBound
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTailEnergyLinear
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTailEnergyPair
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTailOutgoingSelection
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningCentralTransfer
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningForbiddenGreenUniform
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningGreenSmallness
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningLogarithmicLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningNegativeTransfer
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningOutgoingRobin
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralTurningShellDecay
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralUniformWeightBounds
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralWeakRobinC1
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralWeightExt
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralWeightedGaugeBoundary
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralWeightedProductLimit
import OAI.MathematicalPhysics.DefocusingNLS.Spectrum.SpectralWeightedSourceBalance

/-! Outgoing spectral estimates and symmetry-mode classification. -/